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(5) Elgamal public key cryptosystem (decryption): Start with the prime p = 13 and the primitive root g = 2. Alice's secret key is a = 4. Alice sends Bob the public key A = 3. Bob encrypts the message m and sends the pair of numbers (7,5) to Alice. Using Elgamal public key decryption, Alice computes the plaintext mes- sage m from the ciphertext (7,5). What is the number m that Alice obtains?

(5) Elgamal public key cryptosystem (decryption): Start with the prime p = 13 and the primitive root g = 2. Alice's secret key is a = 4. Alice sends Bob the public key A = 3. Bob encrypts the message m and sends the pair of numbers (7,5) to Alice. Using Elgamal public key decryption, Alice computes the plaintext mes- sage m from the ciphertext (7,5). What is the number m that Alice obtains?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**ElGamal Public Key Cryptosystem (Decryption):** Start with the prime \( p = 13 \) and the primitive root \( g = 2 \). Alice’s secret key is \( a = 4 \). Alice sends Bob the public key \( A = 3 \). Bob encrypts the message \( m \) and sends the pair of numbers \( (7, 5) \) to Alice. Using Elgamal public key decryption, Alice computes the plaintext message \( m \) from the ciphertext \( (7,5) \). What is the number \( m \) that Alice obtains?
Transcribed Image Text:**ElGamal Public Key Cryptosystem (Decryption):** Start with the prime \( p = 13 \) and the primitive root \( g = 2 \). Alice’s secret key is \( a = 4 \). Alice sends Bob the public key \( A = 3 \). Bob encrypts the message \( m \) and sends the pair of numbers \( (7, 5) \) to Alice. Using Elgamal public key decryption, Alice computes the plaintext message \( m \) from the ciphertext \( (7,5) \). What is the number \( m \) that Alice obtains?
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